3376698872976 has 1080 divisors, whose sum is σ = 11796705962496. Its totient is φ = 899458560000.

The previous prime is 3376698872951. The next prime is 3376698873001. The reversal of 3376698872976 is 6792788966733.

3376698872976 is a `hidden beast` number, since 3 + 376 + 6 + 98 + 8 + 72 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3376698872951) and next prime (3376698873001).

It is a super-2 number, since 2×3376698872976² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3376698872895 and 3376698872904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6481187596 + ... + 6481188116.

Almost surely, 2^{3376698872976} is an apocalyptic number.

3376698872976 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 3376698872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898352981248).

3376698872976 is an abundant number, since it is smaller than the sum of its proper divisors (8420007089520).

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

3376698872976 is a wasteful number, since it uses less digits than its factorization.

3376698872976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 652 counting only the distinct ones).

The product of its digits is 6913299456, while the sum is 81.

The spelling of 3376698872976 in words is "three trillion, three hundred seventy-six billion, six hundred ninety-eight million, eight hundred seventy-two thousand, nine hundred seventy-six".