3620125440 has 432 divisors, whose sum is σ = 13395967200. Its totient is φ = 925655040.

The previous prime is 3620125429. The next prime is 3620125451. The reversal of 3620125440 is 445210263.

3620125440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3620125429) and next prime (3620125451).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33212106 + ... + 33212214.

Almost surely, 2^3620125440 is an apocalyptic number.

3620125440 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 3620125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697983600).

3620125440 is an abundant number, since it is smaller than the sum of its proper divisors (9775841760).

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

3620125440 is a wasteful number, since it uses less digits than its factorization.

3620125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3620125440 is about 60167.4782586074. The cubic root of 3620125440 is about 1535.4695433907.

The spelling of 3620125440 in words is "three billion, six hundred twenty million, one hundred twenty-five thousand, four hundred forty".