3977902080 has 288 divisors, whose sum is σ = 14603425200. Its totient is φ = 997982208.

The previous prime is 3977902037. The next prime is 3977902099. The reversal of 3977902080 is 802097793.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565451 + ... + 1567989.

Almost surely, 2^3977902080 is an apocalyptic number.

3977902080 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 3977902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301712600).

3977902080 is an abundant number, since it is smaller than the sum of its proper divisors (10625523120).

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

3977902080 is a wasteful number, since it uses less digits than its factorization.

3977902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3977902080 is about 63070.6118568704. The cubic root of 3977902080 is about 1584.4724638992.

The spelling of 3977902080 in words is "three billion, nine hundred seventy-seven million, nine hundred two thousand, eighty".