3352752000 has 640 divisors, whose sum is σ = 13477464000. Its totient is φ = 821145600.

The previous prime is 3352751981. The next prime is 3352752023. The reversal of 3352752000 is 2572533.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3352752000² = 22481891947008000000, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 16847901 + ... + 16848099.

Almost surely, 2^3352752000 is an apocalyptic number.

3352752000 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 3352752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738732000).

3352752000 is an abundant number, since it is smaller than the sum of its proper divisors (10124712000).

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

3352752000 is a wasteful number, since it uses less digits than its factorization.

3352752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3352752000 is about 57902.9532925567. The cubic root of 3352752000 is about 1496.6967309489.

The spelling of 3352752000 in words is "three billion, three hundred fifty-two million, seven hundred fifty-two thousand".