3761384400774 has 240 divisors, whose sum is σ = 11402036753184. Its totient is φ = 901829998080.

The previous prime is 3761384400749. The next prime is 3761384400871. The reversal of 3761384400774 is 4770044831673.

3761384400774 is a `hidden beast` number, since 37 + 6 + 138 + 4 + 400 + 7 + 74 = 666.

It is a super-2 number, since 2×3761384400774² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3761384400774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 729454 + ... + 2838110.

Almost surely, 2^{3761384400774} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3761384400774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701018376592).

3761384400774 is an abundant number, since it is smaller than the sum of its proper divisors (7640652352410).

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

3761384400774 is a wasteful number, since it uses less digits than its factorization.

3761384400774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108713 (or 2108693 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 3761384400774 in words is "three trillion, seven hundred sixty-one billion, three hundred eighty-four million, four hundred thousand, seven hundred seventy-four".