3378906913536 has 1296 divisors, whose sum is σ = 13133089831680. Its totient is φ = 811285217280.

The previous prime is 3378906913511. The next prime is 3378906913537. The reversal of 3378906913536 is 6353196098733.

It is a happy number.

3378906913536 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 9 + 0 + 6 + 91 + 3 + 536 = 666.

It is a super-2 number, since 2×3378906913536² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3378906913537) by changing a digit.

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, 3024983250 + ... + 3024984366.

Almost surely, 2^{3378906913536} is an apocalyptic number.

3378906913536 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 3378906913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566544915840).

3378906913536 is an abundant number, since it is smaller than the sum of its proper divisors (9754182918144).

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

3378906913536 is a wasteful number, since it uses less digits than its factorization.

3378906913536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 3378906913536 in words is "three trillion, three hundred seventy-eight billion, nine hundred six million, nine hundred thirteen thousand, five hundred thirty-six".