3744276480 has 336 divisors, whose sum is σ = 14843784384. Its totient is φ = 855244800.

The previous prime is 3744276463. The next prime is 3744276491. The reversal of 3744276480 is 846724473.

3744276480 is a `hidden beast` number, since 374 + 4 + 276 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 23 ways as a sum of consecutive naturals, for example, 2579755 + ... + 2581205.

Almost surely, 2^3744276480 is an apocalyptic number.

3744276480 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 3744276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421892192).

3744276480 is an abundant number, since it is smaller than the sum of its proper divisors (11099507904).

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

3744276480 is a wasteful number, since it uses less digits than its factorization.

3744276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3744276480 is about 61190.4933792824. The cubic root of 3744276480 is about 1552.8254368450.

The spelling of 3744276480 in words is "three billion, seven hundred forty-four million, two hundred seventy-six thousand, four hundred eighty".