3524973120 has 448 divisors, whose sum is σ = 13351703040. Its totient is φ = 872349696.

The previous prime is 3524973083. The next prime is 3524973121. The reversal of 3524973120 is 213794253.

3524973120 is a `hidden beast` number, since 3 + 524 + 9 + 7 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3524973121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15128524 + ... + 15128756.

Almost surely, 2^3524973120 is an apocalyptic number.

3524973120 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 3524973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675851520).

3524973120 is an abundant number, since it is smaller than the sum of its proper divisors (9826729920).

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

3524973120 is a wasteful number, since it uses less digits than its factorization.

3524973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3524973120 is about 59371.4840643217. The cubic root of 3524973120 is about 1521.8970312465.

The spelling of 3524973120 in words is "three billion, five hundred twenty-four million, nine hundred seventy-three thousand, one hundred twenty".