3764093348736 has 320 divisors, whose sum is σ = 13555221562080. Its totient is φ = 1012192837632.

The previous prime is 3764093348723. The next prime is 3764093348737. The reversal of 3764093348736 is 6378433904673.

It is a happy number.

3764093348736 is a `hidden beast` number, since 3 + 7 + 64 + 0 + 93 + 3 + 487 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764093348737) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291625 + ... + 2759208.

Almost surely, 2^{3764093348736} is an apocalyptic number.

3764093348736 is a gapful number since it is divisible by the number (36) 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 3764093348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777610781040).

3764093348736 is an abundant number, since it is smaller than the sum of its proper divisors (9791128213344).

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

3764093348736 is a wasteful number, since it uses less digits than its factorization.

3764093348736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050883 (or 3050862 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 63.

The spelling of 3764093348736 in words is "three trillion, seven hundred sixty-four billion, ninety-three million, three hundred forty-eight thousand, seven hundred thirty-six".