3762034080480 has 864 divisors, whose sum is σ = 14780509642080. Its totient is φ = 865144627200.

The previous prime is 3762034080461. The next prime is 3762034080487. The reversal of 3762034080480 is 840804302673.

3762034080480 is a `hidden beast` number, since 3 + 7 + 62 + 0 + 34 + 0 + 80 + 480 = 666.

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 (3762034080487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 521704075 + ... + 521711285.

It is an arithmetic number, because the mean of its divisors is an integer number (17107071345).

Almost surely, 2^{3762034080480} is an apocalyptic number.

3762034080480 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 3762034080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390254821040).

3762034080480 is an abundant number, since it is smaller than the sum of its proper divisors (11018475561600).

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

3762034080480 is a wasteful number, since it uses less digits than its factorization.

3762034080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3762034080480 in words is "three trillion, seven hundred sixty-two billion, thirty-four million, eighty thousand, four hundred eighty".