3725364960000 has 1890 divisors, whose sum is σ = 15031674714980. Its totient is φ = 918190080000.

The previous prime is 3725364959957. The next prime is 3725364960047. The reversal of 3725364960000 is 694635273.

3725364960000 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 36 + 4 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 90862559980 + ... + 90862560020.

Almost surely, 2^{3725364960000} is an apocalyptic number.

3725364960000 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 3725364960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515837357490).

3725364960000 is an abundant number, since it is smaller than the sum of its proper divisors (11306309754980).

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

3725364960000 is an frugal number, since it uses more digits than its factorization.

3725364960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3725364960000 in words is "three trillion, seven hundred twenty-five billion, three hundred sixty-four million, nine hundred sixty thousand".