3749379480 has 384 divisors, whose sum is σ = 15567552000. Its totient is φ = 759859200.

The previous prime is 3749379479. The next prime is 3749379511. The reversal of 3749379480 is 849739473.

3749379480 is a `hidden beast` number, since 3 + 7 + 4 + 93 + 79 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1134871 + ... + 1138169.

It is an arithmetic number, because the mean of its divisors is an integer number (40540500).

Almost surely, 2^3749379480 is an apocalyptic number.

3749379480 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 3749379480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776000).

3749379480 is an abundant number, since it is smaller than the sum of its proper divisors (11818172520).

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

3749379480 is a wasteful number, since it uses less digits than its factorization.

3749379480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3749379480 is about 61232.1768353861. The cubic root of 3749379480 is about 1553.5305549203.

The spelling of 3749379480 in words is "three billion, seven hundred forty-nine million, three hundred seventy-nine thousand, four hundred eighty".