3642912240 has 160 divisors (see below), whose sum is σ = 12440203776. Its totient is φ = 874490880.

The previous prime is 3642912239. The next prime is 3642912277. The reversal of 3642912240 is 422192463.

3642912240 is digitally balanced in base 2 and base 4, because in such bases 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265222 + ... + 278618.

Almost surely, 2^3642912240 is an apocalyptic number.

3642912240 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 3642912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220101888).

3642912240 is an abundant number, since it is smaller than the sum of its proper divisors (8797291536).

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

3642912240 is a wasteful number, since it uses less digits than its factorization.

3642912240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13527 (or 13521 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3642912240 is about 60356.5426445220. The cubic root of 3642912240 is about 1538.6844671363.

The spelling of 3642912240 in words is "three billion, six hundred forty-two million, nine hundred twelve thousand, two hundred forty".