3725178336000 has 1296 divisors, whose sum is σ = 15193908501408. Its totient is φ = 902513664000.

The previous prime is 3725178335969. The next prime is 3725178336031. The reversal of 3725178336000 is 6338715273.

3725178336000 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 1 + 7 + 8 + 33 + 600 + 0 = 666.

3725178336000 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 (3725178335969) and next prime (3725178336031).

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 2309471194 + ... + 2309472806.

Almost surely, 2^{3725178336000} is an apocalyptic number.

3725178336000 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 3725178336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596954250704).

3725178336000 is an abundant number, since it is smaller than the sum of its proper divisors (11468730165408).

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

3725178336000 is an frugal number, since it uses more digits than its factorization.

3725178336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3725178336000 in words is "three trillion, seven hundred twenty-five billion, one hundred seventy-eight million, three hundred thirty-six thousand".