3786938749440 has 3360 divisors, whose sum is σ = 18158291116416. Its totient is φ = 735268700160.

The previous prime is 3786938749337. The next prime is 3786938749441. The reversal of 3786938749440 is 449478396873.

It is a happy number.

3786938749440 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 93 + 8 + 7 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×3786938749440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3786938749441) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 51875873244 + ... + 51875873316.

Almost surely, 2^{3786938749440} is an apocalyptic number.

3786938749440 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 3786938749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079145558208).

3786938749440 is an abundant number, since it is smaller than the sum of its proper divisors (14371352366976).

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

3786938749440 is an equidigital number, since it uses as much as digits as its factorization.

3786938749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 3786938749440 in words is "three trillion, seven hundred eighty-six billion, nine hundred thirty-eight million, seven hundred forty-nine thousand, four hundred forty".