3424557840 has 320 divisors, whose sum is σ = 12011231232. Its totient is φ = 799948800.

The previous prime is 3424557781. The next prime is 3424557859. The reversal of 3424557840 is 487554243.

It is a junction number, because it is equal to n+sod(n) for n = 3424557792 and 3424557801.

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, 11011285 + ... + 11011595.

Almost surely, 2^3424557840 is an apocalyptic number.

3424557840 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 3424557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

3424557840 is an abundant number, since it is smaller than the sum of its proper divisors (8586673392).

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

3424557840 is a wasteful number, since it uses less digits than its factorization.

3424557840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The square root of 3424557840 is about 58519.7218038500. The cubic root of 3424557840 is about 1507.3062568490.

The spelling of 3424557840 in words is "three billion, four hundred twenty-four million, five hundred fifty-seven thousand, eight hundred forty".