3378599904 has 96 divisors (see below), whose sum is σ = 9429364224. Its totient is φ = 1056872960.

The previous prime is 3378599891. The next prime is 3378599921. The reversal of 3378599904 is 4099958733.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3378599904² = 22829874622617618432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102589 + ... + 131459.

It is an arithmetic number, because the mean of its divisors is an integer number (98222544).

Almost surely, 2^3378599904 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 3378599904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714682112).

3378599904 is an abundant number, since it is smaller than the sum of its proper divisors (6050764320).

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

3378599904 is a wasteful number, since it uses less digits than its factorization.

3378599904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28960 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The square root of 3378599904 is about 58125.7249761240. The cubic root of 3378599904 is about 1500.5331296039.

The spelling of 3378599904 in words is "three billion, three hundred seventy-eight million, five hundred ninety-nine thousand, nine hundred four".