3900049152 has 288 divisors, whose sum is σ = 11496764160. Its totient is φ = 1168834560.

The previous prime is 3900049129. The next prime is 3900049157. The reversal of 3900049152 is 2519400093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900049157) 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, 46988503 + ... + 46988585.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 2^3900049152 is an apocalyptic number.

3900049152 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 3900049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748382080).

3900049152 is an abundant number, since it is smaller than the sum of its proper divisors (7596715008).

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

3900049152 is a wasteful number, since it uses less digits than its factorization.

3900049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 3900049152 is about 62450.3735136949. The cubic root of 3900049152 is about 1574.0675292739.

The spelling of 3900049152 in words is "three billion, nine hundred million, forty-nine thousand, one hundred fifty-two".