3274131456 has 384 divisors, whose sum is σ = 10637827200. Its totient is φ = 1003290624.

The previous prime is 3274131391. The next prime is 3274131481. The reversal of 3274131456 is 6541314723.

3274131456 is a `hidden beast` number, since 3 + 2 + 74 + 131 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 3274131456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76142571 + ... + 76142613.

It is an arithmetic number, because the mean of its divisors is an integer number (27702675).

Almost surely, 2^3274131456 is an apocalyptic number.

3274131456 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 3274131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318913600).

3274131456 is an abundant number, since it is smaller than the sum of its proper divisors (7363695744).

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

3274131456 is an frugal number, since it uses more digits than its factorization.

3274131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3274131456 is about 57220.0267039434. The cubic root of 3274131456 is about 1484.9051179047.

The spelling of 3274131456 in words is "three billion, two hundred seventy-four million, one hundred thirty-one thousand, four hundred fifty-six".