3749152000 has 144 divisors (see below), whose sum is σ = 10189617984. Its totient is φ = 1363200000.

The previous prime is 3749151979. The next prime is 3749152003. The reversal of 3749152000 is 2519473.

3749152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3749152000² = 28112281438208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749152003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346675 + ... + 357325.

It is an arithmetic number, because the mean of its divisors is an integer number (70761236).

Almost surely, 2^3749152000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094808992).

3749152000 is an abundant number, since it is smaller than the sum of its proper divisors (6440465984).

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

3749152000 is a wasteful number, since it uses less digits than its factorization.

3749152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 3749152000 is about 61230.3192870983. The cubic root of 3749152000 is about 1553.4991360078.

The spelling of 3749152000 in words is "three billion, seven hundred forty-nine million, one hundred fifty-two thousand".