3498731976960 has 864 divisors, whose sum is σ = 13745308711680. Its totient is φ = 813883392000.

The previous prime is 3498731976953. The next prime is 3498731976977. The reversal of 3498731976960 is 696791378943.

3498731976960 is a `hidden beast` number, since 3 + 498 + 7 + 3 + 1 + 9 + 76 + 9 + 60 = 666.

It is a super-2 number, since 2×3498731976960² (a number of 26 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 613702110 + ... + 613707810.

It is an arithmetic number, because the mean of its divisors is an integer number (15908922120).

Almost surely, 2^{3498731976960} is an apocalyptic number.

3498731976960 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 3498731976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872654355840).

3498731976960 is an abundant number, since it is smaller than the sum of its proper divisors (10246576734720).

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

3498731976960 is a wasteful number, since it uses less digits than its factorization.

3498731976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 3498731976960 in words is "three trillion, four hundred ninety-eight billion, seven hundred thirty-one million, nine hundred seventy-six thousand, nine hundred sixty".