3622752000 has 576 divisors, whose sum is σ = 15305472000. Its totient is φ = 826675200.

The previous prime is 3622751987. The next prime is 3622752017. The reversal of 3622752000 is 2572263.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047701 + ... + 6048299.

It is an arithmetic number, because the mean of its divisors is an integer number (26572000).

Almost surely, 2^3622752000 is an apocalyptic number.

3622752000 is a gapful number since it is divisible by the number (30) 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 3622752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736000).

3622752000 is an abundant number, since it is smaller than the sum of its proper divisors (11682720000).

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

3622752000 is an equidigital number, since it uses as much as digits as its factorization.

3622752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3622752000 is about 60189.3013749121. The cubic root of 3622752000 is about 1535.8408038134.

The spelling of 3622752000 in words is "three billion, six hundred twenty-two million, seven hundred fifty-two thousand".