3629949120 has 448 divisors, whose sum is σ = 14958120960. Its totient is φ = 811413504.

The previous prime is 3629949101. The next prime is 3629949131. The reversal of 3629949120 is 219499263.

It is a happy number.

3629949120 is a `hidden beast` number, since 3 + 629 + 9 + 4 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3629949120² = 26353061227577548800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2841922 + ... + 2843198.

Almost surely, 2^3629949120 is an apocalyptic number.

3629949120 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 3629949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479060480).

3629949120 is an abundant number, since it is smaller than the sum of its proper divisors (11328171840).

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

3629949120 is a wasteful number, since it uses less digits than its factorization.

3629949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3629949120 is about 60249.0590797898. The cubic root of 3629949120 is about 1536.8571875604.

The spelling of 3629949120 in words is "three billion, six hundred twenty-nine million, nine hundred forty-nine thousand, one hundred twenty".