3753840157200 has 720 divisors, whose sum is σ = 15326692243200. Its totient is φ = 850395893760.

The previous prime is 3753840157157. The next prime is 3753840157217. The reversal of 3753840157200 is 27510483573.

3753840157200 is a `hidden beast` number, since 3 + 7 + 5 + 38 + 40 + 1 + 572 + 0 + 0 = 666.

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

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, 139518949 + ... + 139545851.

It is an arithmetic number, because the mean of its divisors is an integer number (21287072560).

Almost surely, 2^{3753840157200} is an apocalyptic number.

3753840157200 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 3753840157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663346121600).

3753840157200 is an abundant number, since it is smaller than the sum of its proper divisors (11572852086000).

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

3753840157200 is a wasteful number, since it uses less digits than its factorization.

3753840157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27061 (or 27033 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 3753840157200 in words is "three trillion, seven hundred fifty-three billion, eight hundred forty million, one hundred fifty-seven thousand, two hundred".