3490295497416 has 2048 divisors, whose sum is σ = 13644752486400. Its totient is φ = 800781189120.

The previous prime is 3490295497387. The next prime is 3490295497441. The reversal of 3490295497416 is 6147945920943.

3490295497416 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 2 + 9 + 549 + 74 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 32619584035 + ... + 32619584141.

It is an arithmetic number, because the mean of its divisors is an integer number (6662476800).

Almost surely, 2^{3490295497416} is an apocalyptic number.

3490295497416 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 3490295497416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822376243200).

3490295497416 is an abundant number, since it is smaller than the sum of its proper divisors (10154456988984).

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

3490295497416 is a wasteful number, since it uses less digits than its factorization.

3490295497416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3490295497416 in words is "three trillion, four hundred ninety billion, two hundred ninety-five million, four hundred ninety-seven thousand, four hundred sixteen".