3740795004672 has 288 divisors, whose sum is σ = 12295550856960. Its totient is φ = 1112184852480.

The previous prime is 3740795004671. The next prime is 3740795004689. The reversal of 3740795004672 is 2764005970473.

3740795004672 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 79 + 500 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740795004671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3565543 + ... + 4493849.

It is an arithmetic number, because the mean of its divisors is an integer number (42692884920).

Almost surely, 2^{3740795004672} is an apocalyptic number.

3740795004672 is a gapful number since it is divisible by the number (32) 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 3740795004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147775428480).

3740795004672 is an abundant number, since it is smaller than the sum of its proper divisors (8554755852288).

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

3740795004672 is a wasteful number, since it uses less digits than its factorization.

3740795004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928396 (or 928376 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 3740795004672 in words is "three trillion, seven hundred forty billion, seven hundred ninety-five million, four thousand, six hundred seventy-two".