3470572470240 has 768 divisors, whose sum is σ = 13130391859200. Its totient is φ = 853330028544.

The previous prime is 3470572470223. The next prime is 3470572470251. The reversal of 3470572470240 is 420742750743.

3470572470240 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 572 + 4 + 70 + 2 + 4 + 0 = 666.

3470572470240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 1083536479 + ... + 1083539681.

It is an arithmetic number, because the mean of its divisors is an integer number (17096864400).

Almost surely, 2^{3470572470240} is an apocalyptic number.

3470572470240 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 3470572470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565195929600).

3470572470240 is an abundant number, since it is smaller than the sum of its proper divisors (9659819388960).

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

3470572470240 is a wasteful number, since it uses less digits than its factorization.

3470572470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 3470572470240 in words is "three trillion, four hundred seventy billion, five hundred seventy-two million, four hundred seventy thousand, two hundred forty".