3479820100 has 81 divisors (see below), whose sum is σ = 8044710583. Its totient is φ = 1306274560.

The previous prime is 3479820089. The next prime is 3479820131. The reversal of 3479820100 is 10289743.

The square root of 3479820100 is 58990.

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 81396484 + 3398423616 = 9022^2 + 58296^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10028127 + ... + 10028473.

Almost surely, 2^3479820100 is an apocalyptic number.

3479820100 is the 58990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3479820100

3479820100 is an abundant number, since it is smaller than the sum of its proper divisors (4564890483).

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

3479820100 is a wasteful number, since it uses less digits than its factorization.

3479820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 3479820100 is about 1515.3708568664.

The spelling of 3479820100 in words is "three billion, four hundred seventy-nine million, eight hundred twenty thousand, one hundred".