3980692800 has 1008 divisors, whose sum is σ = 18041916672. Its totient is φ = 811008000.

The previous prime is 3980692787. The next prime is 3980692813. The reversal of 3980692800 is 82960893.

It is an interprime number because it is at equal distance from previous prime (3980692787) and next prime (3980692813).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39412750 + ... + 39412850.

Almost surely, 2^3980692800 is an apocalyptic number.

3980692800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020958336).

3980692800 is an abundant number, since it is smaller than the sum of its proper divisors (14061223872).

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

3980692800 is a wasteful number, since it uses less digits than its factorization.

3980692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3980692800 is about 63092.7317525561. The cubic root of 3980692800 is about 1584.8429091957.

The spelling of 3980692800 in words is "three billion, nine hundred eighty million, six hundred ninety-two thousand, eight hundred".