3524472000 has 1008 divisors, whose sum is σ = 15620256288. Its totient is φ = 783820800.

The previous prime is 3524471989. The next prime is 3524472023. The reversal of 3524472000 is 2744253.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95255982 + ... + 95256018.

It is an arithmetic number, because the mean of its divisors is an integer number (15496286).

Almost surely, 2^3524472000 is an apocalyptic number.

3524472000 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 3524472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810128144).

3524472000 is an abundant number, since it is smaller than the sum of its proper divisors (12095784288).

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

3524472000 is an equidigital number, since it uses as much as digits as its factorization.

3524472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3524472000 is about 59367.2637065243. The cubic root of 3524472000 is about 1521.8249087879.

The spelling of 3524472000 in words is "three billion, five hundred twenty-four million, four hundred seventy-two thousand".