3370903990272 has 2496 divisors, whose sum is σ = 13969311462400. Its totient is φ = 779700142080.

The previous prime is 3370903990261. The next prime is 3370903990339. The reversal of 3370903990272 is 2720993090733.

It is a happy number.

3370903990272 is a `hidden beast` number, since 3 + 370 + 90 + 39 + 90 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×3370903990272² (a number of 26 digits) 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 191 ways as a sum of consecutive naturals, for example, 55260721122 + ... + 55260721182.

Almost surely, 2^{3370903990272} is an apocalyptic number.

3370903990272 is a gapful number since it is divisible by the number (32) 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 3370903990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984655731200).

3370903990272 is an abundant number, since it is smaller than the sum of its proper divisors (10598407472128).

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

3370903990272 is a wasteful number, since it uses less digits than its factorization.

3370903990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 3370903990272 in words is "three trillion, three hundred seventy billion, nine hundred three million, nine hundred ninety thousand, two hundred seventy-two".