3626434560 has 544 divisors, whose sum is σ = 14495404032. Its totient is φ = 754974720.

The previous prime is 3626434549. The next prime is 3626434561. The reversal of 3626434560 is 654346263.

It is a tau number, because it is divible by the number of its divisors (544).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626434561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116981745 + ... + 116981775.

Almost surely, 2^3626434560 is an apocalyptic number.

3626434560 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 3626434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247702016).

3626434560 is an abundant number, since it is smaller than the sum of its proper divisors (10868969472).

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

3626434560 is an equidigital number, since it uses as much as digits as its factorization.

3626434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The square root of 3626434560 is about 60219.8850879010. The cubic root of 3626434560 is about 1536.3610262477.

The spelling of 3626434560 in words is "three billion, six hundred twenty-six million, four hundred thirty-four thousand, five hundred sixty".