3980034576 has 320 divisors, whose sum is σ = 14013388800. Its totient is φ = 1056167424.

The previous prime is 3980034547. The next prime is 3980034593. The reversal of 3980034576 is 6754300893.

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 63 ways as a sum of consecutive naturals, for example, 3044515 + ... + 3045821.

It is an arithmetic number, because the mean of its divisors is an integer number (43791840).

Almost surely, 2^3980034576 is an apocalyptic number.

3980034576 is a gapful number since it is divisible by the number (36) 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 3980034576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006694400).

3980034576 is an abundant number, since it is smaller than the sum of its proper divisors (10033354224).

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

3980034576 is a wasteful number, since it uses less digits than its factorization.

3980034576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3980034576 is about 63087.5152149774. The cubic root of 3980034576 is about 1584.7555509396.

The spelling of 3980034576 in words is "three billion, nine hundred eighty million, thirty-four thousand, five hundred seventy-six".