3760479287136 has 864 divisors, whose sum is σ = 13421953569024. Its totient is φ = 990301593600.

The previous prime is 3760479287029. The next prime is 3760479287161. The reversal of 3760479287136 is 6317829740673.

3760479287136 is a `hidden beast` number, since 3 + 7 + 6 + 0 + 479 + 28 + 7 + 136 = 666.

It is a super-3 number, since 3×3760479287136³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 519614910 + ... + 519622146.

Almost surely, 2^{3760479287136} is an apocalyptic number.

3760479287136 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 3760479287136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710976784512).

3760479287136 is an abundant number, since it is smaller than the sum of its proper divisors (9661474281888).

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

3760479287136 is a wasteful number, since it uses less digits than its factorization.

3760479287136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 3760479287136 in words is "three trillion, seven hundred sixty billion, four hundred seventy-nine million, two hundred eighty-seven thousand, one hundred thirty-six".