3298972976640 has 2560 divisors, whose sum is σ = 14402729594880. Its totient is φ = 714725130240.

The previous prime is 3298972976609. The next prime is 3298972976693. The reversal of 3298972976640 is 466792798923.

3298972976640 is a `hidden beast` number, since 3 + 298 + 9 + 7 + 297 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24080094652 + ... + 24080094788.

It is an arithmetic number, because the mean of its divisors is an integer number (5626066248).

Almost surely, 2^{3298972976640} is an apocalyptic number.

3298972976640 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 3298972976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201364797440).

3298972976640 is an abundant number, since it is smaller than the sum of its proper divisors (11103756618240).

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

3298972976640 is a wasteful number, since it uses less digits than its factorization.

3298972976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 3298972976640 in words is "three trillion, two hundred ninety-eight billion, nine hundred seventy-two million, nine hundred seventy-six thousand, six hundred forty".