3789253632 has 176 divisors, whose sum is σ = 10443499232. Its totient is φ = 1220935680.

The previous prime is 3789253621. The next prime is 3789253669. The reversal of 3789253632 is 2363529873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13679478 + ... + 13679754.

Almost surely, 2^3789253632 is an apocalyptic number.

3789253632 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 3789253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221749616).

3789253632 is an abundant number, since it is smaller than the sum of its proper divisors (6654245600).

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

3789253632 is a wasteful number, since it uses less digits than its factorization.

3789253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3789253632 is about 61556.9137627935. The cubic root of 3789253632 is about 1559.0183436154.

The spelling of 3789253632 in words is "three billion, seven hundred eighty-nine million, two hundred fifty-three thousand, six hundred thirty-two".