3802149120 has 648 divisors, whose sum is σ = 15619528512. Its totient is φ = 785326080.

The previous prime is 3802149097. The next prime is 3802149133. The reversal of 3802149120 is 219412083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22767277 + ... + 22767443.

Almost surely, 2^3802149120 is an apocalyptic number.

3802149120 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 3802149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809764256).

3802149120 is an abundant number, since it is smaller than the sum of its proper divisors (11817379392).

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

3802149120 is a wasteful number, since it uses less digits than its factorization.

3802149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3802149120 is about 61661.5692307616. The cubic root of 3802149120 is about 1560.7848778874.

The spelling of 3802149120 in words is "three billion, eight hundred two million, one hundred forty-nine thousand, one hundred twenty".