3725753552640 has 720 divisors, whose sum is σ = 15290974480320. Its totient is φ = 848523755520.

The previous prime is 3725753552623. The next prime is 3725753552657. The reversal of 3725753552640 is 462553575273.

3725753552640 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 75 + 3 + 5 + 526 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3725753552623) and next prime (3725753552657).

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203929426 + ... + 203947694.

It is an arithmetic number, because the mean of its divisors is an integer number (21237464556).

Almost surely, 2^{3725753552640} is an apocalyptic number.

3725753552640 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 3725753552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645487240160).

3725753552640 is an abundant number, since it is smaller than the sum of its proper divisors (11565220927680).

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

3725753552640 is a wasteful number, since it uses less digits than its factorization.

3725753552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18590 (or 18567 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 54.

The spelling of 3725753552640 in words is "three trillion, seven hundred twenty-five billion, seven hundred fifty-three million, five hundred fifty-two thousand, six hundred forty".