3744205632 has 168 divisors, whose sum is σ = 10983772800. Its totient is φ = 1219166208.

The previous prime is 3744205601. The next prime is 3744205669. The reversal of 3744205632 is 2365024473.

3744205632 is a `hidden beast` number, since 3 + 74 + 4 + 20 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4868544 + ... + 4869312.

It is an arithmetic number, because the mean of its divisors is an integer number (65379600).

Almost surely, 2^3744205632 is an apocalyptic number.

3744205632 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 3744205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491886400).

3744205632 is an abundant number, since it is smaller than the sum of its proper divisors (7239567168).

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

3744205632 is a wasteful number, since it uses less digits than its factorization.

3744205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3744205632 is about 61189.9144630878. The cubic root of 3744205632 is about 1552.8156427614.

The spelling of 3744205632 in words is "three billion, seven hundred forty-four million, two hundred five thousand, six hundred thirty-two".