3376540107360 has 576 divisors, whose sum is σ = 13491712346112. Its totient is φ = 752943403008.

The previous prime is 3376540107331. The next prime is 3376540107371. The reversal of 3376540107360 is 637010456733.

It is a happy number.

3376540107360 is a `hidden beast` number, since 3 + 3 + 76 + 540 + 1 + 0 + 7 + 36 + 0 = 666.

It is a super-2 number, since 2×3376540107360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150170679 + ... + 150193161.

It is an arithmetic number, because the mean of its divisors is an integer number (23423111712).

Almost surely, 2^{3376540107360} is an apocalyptic number.

3376540107360 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 3376540107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745856173056).

3376540107360 is an abundant number, since it is smaller than the sum of its proper divisors (10115172238752).

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

3376540107360 is a wasteful number, since it uses less digits than its factorization.

3376540107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22875 (or 22864 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 3376540107360 in words is "three trillion, three hundred seventy-six billion, five hundred forty million, one hundred seven thousand, three hundred sixty".