1641524352 has 384 divisors, whose sum is σ = 5373164160. Its totient is φ = 439025664.

The previous prime is 1641524347. The next prime is 1641524371. The reversal of 1641524352 is 2534251461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (28800) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56604274 + ... + 56604302.

It is an arithmetic number, because the mean of its divisors is an integer number (13992615).

Almost surely, 2^1641524352 is an apocalyptic number.

1641524352 is a gapful number since it is divisible by the number (12) 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 1641524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686582080).

1641524352 is an abundant number, since it is smaller than the sum of its proper divisors (3731639808).

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

1641524352 is a wasteful number, since it uses less digits than its factorization.

1641524352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 1641524352 is about 40515.7296861355. The cubic root of 1641524352 is about 1179.6389664428.

The spelling of 1641524352 in words is "one billion, six hundred forty-one million, five hundred twenty-four thousand, three hundred fifty-two".