3431960064 has 320 divisors, whose sum is σ = 11102414400. Its totient is φ = 1046642688.

The previous prime is 3431960057. The next prime is 3431960071. The reversal of 3431960064 is 4600691343.

3431960064 is a `hidden beast` number, since 3 + 43 + 1 + 9 + 600 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3431960057) and next prime (3431960071).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30371272 + ... + 30371384.

It is an arithmetic number, because the mean of its divisors is an integer number (34695045).

Almost surely, 2^3431960064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551207200).

3431960064 is an abundant number, since it is smaller than the sum of its proper divisors (7670454336).

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

3431960064 is an equidigital number, since it uses as much as digits as its factorization.

3431960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3431960064 is about 58582.9332143757. The cubic root of 3431960064 is about 1508.3914956588.

The spelling of 3431960064 in words is "three billion, four hundred thirty-one million, nine hundred sixty thousand, sixty-four".