3753042480 has 360 divisors, whose sum is σ = 14464011744. Its totient is φ = 869806080.

The previous prime is 3753042437. The next prime is 3753042499. The reversal of 3753042480 is 842403573.

It is a happy number.

3753042480 is a `hidden beast` number, since 3 + 7 + 530 + 42 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2002824 + ... + 2004696.

Almost surely, 2^3753042480 is an apocalyptic number.

3753042480 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 3753042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232005872).

3753042480 is an abundant number, since it is smaller than the sum of its proper divisors (10710969264).

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

3753042480 is a wasteful number, since it uses less digits than its factorization.

3753042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3753042480 is about 61262.0802780970. The cubic root of 3753042480 is about 1554.0363035202.

The spelling of 3753042480 in words is "three billion, seven hundred fifty-three million, forty-two thousand, four hundred eighty".