3749430960 has 240 divisors, whose sum is σ = 13783180320. Its totient is φ = 905871360.

The previous prime is 3749430931. The next prime is 3749430983. The reversal of 3749430960 is 690349473.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 3080272 + ... + 3081488.

It is an arithmetic number, because the mean of its divisors is an integer number (57429918).

Almost surely, 2^3749430960 is an apocalyptic number.

3749430960 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 3749430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891590160).

3749430960 is an abundant number, since it is smaller than the sum of its proper divisors (10033749360).

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

3749430960 is a wasteful number, since it uses less digits than its factorization.

3749430960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3749430960 is about 61232.5972011640. The cubic root of 3749430960 is about 1553.5376650201.

The spelling of 3749430960 in words is "three billion, seven hundred forty-nine million, four hundred thirty thousand, nine hundred sixty".