3760138465200 has 1920 divisors, whose sum is σ = 15957778636800. Its totient is φ = 832094208000.

The previous prime is 3760138465147. The next prime is 3760138465247. The reversal of 3760138465200 is 25648310673.

3760138465200 is a `hidden beast` number, since 3 + 7 + 6 + 0 + 1 + 384 + 65 + 200 = 666.

It is a super-2 number, since 2×3760138465200² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 6585180915 + ... + 6585181485.

It is an arithmetic number, because the mean of its divisors is an integer number (8311343040).

Almost surely, 2^{3760138465200} is an apocalyptic number.

3760138465200 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 3760138465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978889318400).

3760138465200 is an abundant number, since it is smaller than the sum of its proper divisors (12197640171600).

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

3760138465200 is a wasteful number, since it uses less digits than its factorization.

3760138465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3760138465200 in words is "three trillion, seven hundred sixty billion, one hundred thirty-eight million, four hundred sixty-five thousand, two hundred".