3762478080 has 352 divisors, whose sum is σ = 14166550080. Its totient is φ = 943718400.

The previous prime is 3762478061. The next prime is 3762478121. The reversal of 3762478080 is 808742673.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349280 + ... + 2350880.

Almost surely, 2^3762478080 is an apocalyptic number.

3762478080 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 3762478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083275040).

3762478080 is an abundant number, since it is smaller than the sum of its proper divisors (10404072000).

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

3762478080 is a wasteful number, since it uses less digits than its factorization.

3762478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3762478080 is about 61339.0420531655. The cubic root of 3762478080 is about 1555.3375583248.

The spelling of 3762478080 in words is "three billion, seven hundred sixty-two million, four hundred seventy-eight thousand, eighty".