3496990888080 has 320 divisors, whose sum is σ = 12441775104000. Its totient is φ = 901866493440.

The previous prime is 3496990888073. The next prime is 3496990888091. The reversal of 3496990888080 is 808880996943.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108927871 + ... + 108959969.

It is an arithmetic number, because the mean of its divisors is an integer number (38880547200).

Almost surely, 2^{3496990888080} is an apocalyptic number.

3496990888080 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 3496990888080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220887552000).

3496990888080 is an abundant number, since it is smaller than the sum of its proper divisors (8944784215920).

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

3496990888080 is a wasteful number, since it uses less digits than its factorization.

3496990888080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33779 (or 33767 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 3496990888080 in words is "three trillion, four hundred ninety-six billion, nine hundred ninety million, eight hundred eighty-eight thousand, eighty".