3783348096 has 512 divisors, whose sum is σ = 12690432000. Its totient is φ = 983531520.

The previous prime is 3783348073. The next prime is 3783348137. The reversal of 3783348096 is 6908433873.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 64124515 + ... + 64124573.

It is an arithmetic number, because the mean of its divisors is an integer number (24786000).

Almost surely, 2^3783348096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345216000).

3783348096 is an abundant number, since it is smaller than the sum of its proper divisors (8907083904).

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

3783348096 is a wasteful number, since it uses less digits than its factorization.

3783348096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 3783348096 is about 61508.9269618646. The cubic root of 3783348096 is about 1558.2080146401.

The spelling of 3783348096 in words is "three billion, seven hundred eighty-three million, three hundred forty-eight thousand, ninety-six".