3997334880 has 768 divisors, whose sum is σ = 17818859520. Its totient is φ = 812851200.

The previous prime is 3997334851. The next prime is 3997334909. The reversal of 3997334880 is 884337993.

3997334880 is a `hidden beast` number, since 3 + 99 + 73 + 3 + 488 + 0 = 666.

3997334880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3997334851) and next prime (3997334909).

It is a super-2 number, since 2×3997334880² = 31957372285729228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20290942 + ... + 20291138.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^3997334880 is an apocalyptic number.

3997334880 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 3997334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909429760).

3997334880 is an abundant number, since it is smaller than the sum of its proper divisors (13821524640).

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

3997334880 is a wasteful number, since it uses less digits than its factorization.

3997334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3997334880 is about 63224.4800690366. The cubic root of 3997334880 is about 1587.0484224490.

The spelling of 3997334880 in words is "three billion, nine hundred ninety-seven million, three hundred thirty-four thousand, eight hundred eighty".