3736104960 has 624 divisors, whose sum is σ = 14925443616. Its totient is φ = 792723456.

The previous prime is 3736104929. The next prime is 3736104971. The reversal of 3736104960 is 694016373.

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, 51179484 + ... + 51179556.

Almost surely, 2^3736104960 is an apocalyptic number.

3736104960 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 3736104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462721808).

3736104960 is an abundant number, since it is smaller than the sum of its proper divisors (11189338656).

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

3736104960 is a wasteful number, since it uses less digits than its factorization.

3736104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3736104960 is about 61123.6857527424. The cubic root of 3736104960 is about 1551.6949838112.

The spelling of 3736104960 in words is "three billion, seven hundred thirty-six million, one hundred four thousand, nine hundred sixty".