3625352640000 has 4000 divisors, whose sum is σ = 17540625453120. Its totient is φ = 724598784000.

The previous prime is 3625352639983. The next prime is 3625352640017. The reversal of 3625352640000 is 462535263.

3625352640000 is a `hidden beast` number, since 3 + 6 + 2 + 5 + 3 + 5 + 2 + 640 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3625352639983) and next prime (3625352640017).

It is a tau number, because it is divible by the number of its divisors (4000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 68402879974 + ... + 68402880026.

Almost surely, 2^{3625352640000} is an apocalyptic number.

3625352640000 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 3625352640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770312726560).

3625352640000 is an abundant number, since it is smaller than the sum of its proper divisors (13915272813120).

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

3625352640000 is an equidigital number, since it uses as much as digits as its factorization.

3625352640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 3625352640000 in words is "three trillion, six hundred twenty-five billion, three hundred fifty-two million, six hundred forty thousand".