3362631552 has 384 divisors, whose sum is σ = 12334982400. Its totient is φ = 855982080.

The previous prime is 3362631551. The next prime is 3362631557. The reversal of 3362631552 is 2551362633.

3362631552 is a `hidden beast` number, since 336 + 2 + 6 + 315 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3362631552² = 22614581909011857408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362631551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604027 + ... + 2605317.

It is an arithmetic number, because the mean of its divisors is an integer number (32122350).

Almost surely, 2^3362631552 is an apocalyptic number.

3362631552 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 3362631552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167491200).

3362631552 is an abundant number, since it is smaller than the sum of its proper divisors (8972350848).

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

3362631552 is a wasteful number, since it uses less digits than its factorization.

3362631552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1339 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 3362631552 is about 57988.2018345111. The cubic root of 3362631552 is about 1498.1653943963.

The spelling of 3362631552 in words is "three billion, three hundred sixty-two million, six hundred thirty-one thousand, five hundred fifty-two".