3649292352 has 392 divisors, whose sum is σ = 11873337696. Its totient is φ = 1107800064.

The previous prime is 3649292341. The next prime is 3649292357. The reversal of 3649292352 is 2532929463.

3649292352 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 292 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3649292298 and 3649292307.

It is not an unprimeable number, because it can be changed into a prime (3649292357) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34105483 + ... + 34105589.

Almost surely, 2^3649292352 is an apocalyptic number.

3649292352 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 3649292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936668848).

3649292352 is an abundant number, since it is smaller than the sum of its proper divisors (8224045344).

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

3649292352 is a wasteful number, since it uses less digits than its factorization.

3649292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3649292352 is about 60409.3730475661. The cubic root of 3649292352 is about 1539.5822153370.

The spelling of 3649292352 in words is "three billion, six hundred forty-nine million, two hundred ninety-two thousand, three hundred fifty-two".