3704752461312 has 1440 divisors, whose sum is σ = 13555021708800. Its totient is φ = 972982886400.

The previous prime is 3704752461283. The next prime is 3704752461313. The reversal of 3704752461312 is 2131642574073.

It is a happy number.

3704752461312 is a `hidden beast` number, since 3 + 7 + 0 + 4 + 7 + 5 + 24 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×3704752461312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3704752461313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24534784437 + ... + 24534784587.

It is an arithmetic number, because the mean of its divisors is an integer number (9413209520).

Almost surely, 2^{3704752461312} is an apocalyptic number.

3704752461312 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 3704752461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777510854400).

3704752461312 is an abundant number, since it is smaller than the sum of its proper divisors (9850269247488).

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

3704752461312 is a wasteful number, since it uses less digits than its factorization.

3704752461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3704752461312 in words is "three trillion, seven hundred four billion, seven hundred fifty-two million, four hundred sixty-one thousand, three hundred twelve".