3702379629312 has 576 divisors, whose sum is σ = 13645940224000. Its totient is φ = 964078682112.

The previous prime is 3702379629287. The next prime is 3702379629341. The reversal of 3702379629312 is 2139269732073.

3702379629312 is a `hidden beast` number, since 3 + 7 + 0 + 2 + 3 + 7 + 9 + 629 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3702379629312² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49653114 + ... + 49727622.

Almost surely, 2^{3702379629312} is an apocalyptic number.

3702379629312 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 3702379629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822970112000).

3702379629312 is an abundant number, since it is smaller than the sum of its proper divisors (9943560594688).

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

3702379629312 is a wasteful number, since it uses less digits than its factorization.

3702379629312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74633 (or 74613 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 3702379629312 in words is "three trillion, seven hundred two billion, three hundred seventy-nine million, six hundred twenty-nine thousand, three hundred twelve".