3742953984 has 540 divisors, whose sum is σ = 13913121222. Its totient is φ = 965099520.

The previous prime is 3742953983. The next prime is 3742953997. The reversal of 3742953984 is 4893592473.

3742953984 is a `hidden beast` number, since 3 + 7 + 4 + 29 + 539 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3073593600 + 669360384 = 55440^2 + 25872^2 .

Its product of digits (6531840) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3742953984.

It is not an unprimeable number, because it can be changed into a prime (3742953983) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27320764 + ... + 27320900.

Almost surely, 2^3742953984 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 3742953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956560611).

3742953984 is an abundant number, since it is smaller than the sum of its proper divisors (10170167238).

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

3742953984 is a wasteful number, since it uses less digits than its factorization.

3742953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3742953984 is about 61179.6860403844. The cubic root of 3742953984 is about 1552.6425935758.

The spelling of 3742953984 in words is "three billion, seven hundred forty-two million, nine hundred fifty-three thousand, nine hundred eighty-four".