3431447072640 has 512 divisors, whose sum is σ = 12461422579200. Its totient is φ = 891876556800.

The previous prime is 3431447072597. The next prime is 3431447072759. The reversal of 3431447072640 is 462707441343.

3431447072640 is a `hidden beast` number, since 3 + 4 + 314 + 4 + 70 + 7 + 264 + 0 = 666.

3431447072640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1113020539 + ... + 1113023621.

It is an arithmetic number, because the mean of its divisors is an integer number (24338715975).

Almost surely, 2^{3431447072640} is an apocalyptic number.

3431447072640 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 3431447072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230711289600).

3431447072640 is an abundant number, since it is smaller than the sum of its proper divisors (9029975506560).

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

3431447072640 is a wasteful number, since it uses less digits than its factorization.

3431447072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 3431447072640 in words is "three trillion, four hundred thirty-one billion, four hundred forty-seven million, seventy-two thousand, six hundred forty".