3552953152 has 224 divisors, whose sum is σ = 8895283200. Its totient is φ = 1403297280.

The previous prime is 3552953149. The next prime is 3552953153. The reversal of 3552953152 is 2513592553.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3552953152² = 25246952200613470208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3552953153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15651663 + ... + 15651889.

Almost surely, 2^3552953152 is an apocalyptic number.

3552953152 is a gapful number since it is divisible by the number (32) 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 3552953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447641600).

3552953152 is an abundant number, since it is smaller than the sum of its proper divisors (5342330048).

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

3552953152 is a wasteful number, since it uses less digits than its factorization.

3552953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its digits is 202500, while the sum is 40.

The square root of 3552953152 is about 59606.6535883369. The cubic root of 3552953152 is about 1525.9131897984.

The spelling of 3552953152 in words is "three billion, five hundred fifty-two million, nine hundred fifty-three thousand, one hundred fifty-two".