3735004980 has 192 divisors, whose sum is σ = 12170188800. Its totient is φ = 838273536.

The previous prime is 3735004979. The next prime is 3735005011. The reversal of 3735004980 is 894005373.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10701846 + ... + 10702194.

It is an arithmetic number, because the mean of its divisors is an integer number (63386400).

Almost surely, 2^3735004980 is an apocalyptic number.

3735004980 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 3735004980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085094400).

3735004980 is an abundant number, since it is smaller than the sum of its proper divisors (8435183820).

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

3735004980 is a wasteful number, since it uses less digits than its factorization.

3735004980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3735004980 is about 61114.6871054741. The cubic root of 3735004980 is about 1551.5426860749.

The spelling of 3735004980 in words is "three billion, seven hundred thirty-five million, four thousand, nine hundred eighty".