3425757720480 has 576 divisors, whose sum is σ = 12427674255360. Its totient is φ = 856904251392.

The previous prime is 3425757720457. The next prime is 3425757720487. The reversal of 3425757720480 is 840277575243.

It is a happy number.

3425757720480 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 7 + 577 + 20 + 48 + 0 = 666.

It is a super-2 number, since 2×3425757720480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3425757720487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3151570497 + ... + 3151571583.

It is an arithmetic number, because the mean of its divisors is an integer number (21575823360).

Almost surely, 2^{3425757720480} is an apocalyptic number.

3425757720480 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 3425757720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213837127680).

3425757720480 is an abundant number, since it is smaller than the sum of its proper divisors (9001916534880).

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

3425757720480 is a wasteful number, since it uses less digits than its factorization.

3425757720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 3425757720480 in words is "three trillion, four hundred twenty-five billion, seven hundred fifty-seven million, seven hundred twenty thousand, four hundred eighty".