3774504960 has 224 divisors, whose sum is σ = 13423574880. Its totient is φ = 1006239744.

The previous prime is 3774504857. The next prime is 3774504961. The reversal of 3774504960 is 694054773.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774504961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104214 + ... + 1107626.

Almost surely, 2^3774504960 is an apocalyptic number.

3774504960 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 3774504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711787440).

3774504960 is an abundant number, since it is smaller than the sum of its proper divisors (9649069920).

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

3774504960 is an equidigital number, since it uses as much as digits as its factorization.

3774504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3774504960 is about 61436.9999267542. Note that the first 4 decimals coincide. The cubic root of 3774504960 is about 1556.9930242002.

The spelling of 3774504960 in words is "three billion, seven hundred seventy-four million, five hundred four thousand, nine hundred sixty".