3980348100 has 135 divisors (see below), whose sum is σ = 12921148471. Its totient is φ = 1059912000.

The previous prime is 3980348063. The next prime is 3980348123. The reversal of 3980348100 is 18430893.

The square root of 3980348100 is 63090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 270076356 + 3710271744 = 16434^2 + 60912^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×3980348100² = 31686341994347220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5677750 + ... + 5678450.

Almost surely, 2^3980348100 is an apocalyptic number.

3980348100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3980348100 is the 63090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980348100

3980348100 is an abundant number, since it is smaller than the sum of its proper divisors (8940800371).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3980348100 is an equidigital number, since it uses as much as digits as its factorization.

3980348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 3980348100 is about 1584.7971624587.

Multiplying 3980348100 by its sum of digits (36), we get a square (143292531600 = 378540²).

3980348100 divided by its sum of digits (36) gives a square (110565225 = 10515²).

Multiplying 3980348100 by its product of nonzero digits (20736), we get a square (82536498201600 = 9084960²).

Adding to 3980348100 its reverse (18430893), we get a palindrome (3998778993).

The spelling of 3980348100 in words is "three billion, nine hundred eighty million, three hundred forty-eight thousand, one hundred".