3742165785600 has 924 divisors, whose sum is σ = 15172865678760. Its totient is φ = 907141939200.

The previous prime is 3742165785583. The next prime is 3742165785613. The reversal of 3742165785600 is 65875612473.

3742165785600 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 1 + 6 + 5 + 78 + 560 + 0 = 666.

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

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 205277286 + ... + 205295514.

Almost surely, 2^{3742165785600} is an apocalyptic number.

3742165785600 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 3742165785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586432839380).

3742165785600 is an abundant number, since it is smaller than the sum of its proper divisors (11430699893160).

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

3742165785600 is a wasteful number, since it uses less digits than its factorization.

3742165785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3742165785600 in words is "three trillion, seven hundred forty-two billion, one hundred sixty-five million, seven hundred eighty-five thousand, six hundred".