3742362624 has 352 divisors, whose sum is σ = 13403690496. Its totient is φ = 896532480.

The previous prime is 3742362577. The next prime is 3742362649. The reversal of 3742362624 is 4262632473.

3742362624 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 (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074464 + ... + 3075680.

Almost surely, 2^3742362624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742362624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701845248).

3742362624 is an abundant number, since it is smaller than the sum of its proper divisors (9661327872).

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

3742362624 is a wasteful number, since it uses less digits than its factorization.

3742362624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1253 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 3742362624 is about 61174.8528727287. The cubic root of 3742362624 is about 1552.5608204551.

The spelling of 3742362624 in words is "three billion, seven hundred forty-two million, three hundred sixty-two thousand, six hundred twenty-four".