3742552300032 has 1440 divisors, whose sum is σ = 14441628801600. Its totient is φ = 921590562816.

The previous prime is 3742552300009. The next prime is 3742552300057. The reversal of 3742552300032 is 2300032552473.

3742552300032 is a `hidden beast` number, since 3 + 7 + 42 + 552 + 30 + 0 + 0 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3742552300032.

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, 8932105519 + ... + 8932105937.

It is an arithmetic number, because the mean of its divisors is an integer number (10028908890).

Almost surely, 2^{3742552300032} is an apocalyptic number.

3742552300032 is a gapful number since it is divisible by the number (32) 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 3742552300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220814400800).

3742552300032 is an abundant number, since it is smaller than the sum of its proper divisors (10699076501568).

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

3742552300032 is a wasteful number, since it uses less digits than its factorization.

3742552300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 3742552300032 in words is "three trillion, seven hundred forty-two billion, five hundred fifty-two million, three hundred thousand, thirty-two".