3490131456 has 160 divisors (see below), whose sum is σ = 11807220480. Its totient is φ = 997152768.

The previous prime is 3490131427. The next prime is 3490131479. The reversal of 3490131456 is 6541310943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3490131456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78735 + ... + 114801.

It is an arithmetic number, because the mean of its divisors is an integer number (73795128).

Almost surely, 2^3490131456 is an apocalyptic number.

3490131456 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 3490131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903610240).

3490131456 is an abundant number, since it is smaller than the sum of its proper divisors (8317089024).

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

3490131456 is an equidigital number, since it uses as much as digits as its factorization.

3490131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36101 (or 36079 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3490131456 is about 59077.3345370287. The cubic root of 3490131456 is about 1516.8661563838.

The spelling of 3490131456 in words is "three billion, four hundred ninety million, one hundred thirty-one thousand, four hundred fifty-six".