3764802779136 has 1152 divisors, whose sum is σ = 13768093946880. Its totient is φ = 1003290624000.

The previous prime is 3764802779081. The next prime is 3764802779147. The reversal of 3764802779136 is 6319772084673.

3764802779136 is a `hidden beast` number, since 3 + 76 + 480 + 2 + 7 + 79 + 13 + 6 = 666.

3764802779136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8942524206 + ... + 8942524626.

It is an arithmetic number, because the mean of its divisors is an integer number (11951470440).

Almost surely, 2^{3764802779136} is an apocalyptic number.

3764802779136 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 3764802779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884046973440).

3764802779136 is an abundant number, since it is smaller than the sum of its proper divisors (10003291167744).

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

3764802779136 is a wasteful number, since it uses less digits than its factorization.

3764802779136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 3764802779136 in words is "three trillion, seven hundred sixty-four billion, eight hundred two million, seven hundred seventy-nine thousand, one hundred thirty-six".