3373819904 has 192 divisors, whose sum is σ = 8516027520. Its totient is φ = 1300561920.

The previous prime is 3373819853. The next prime is 3373819919. The reversal of 3373819904 is 4099183733.

It is a happy number.

It is a super-2 number, since 2×3373819904² = 22765321489253138432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 8013614 + ... + 8014034.

It is an arithmetic number, because the mean of its divisors is an integer number (44354310).

Almost surely, 2^3373819904 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 3373819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258013760).

3373819904 is an abundant number, since it is smaller than the sum of its proper divisors (5142207616).

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

3373819904 is a wasteful number, since it uses less digits than its factorization.

3373819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 3373819904 is about 58084.5926558842. The cubic root of 3373819904 is about 1499.8251505822.

The spelling of 3373819904 in words is "three billion, three hundred seventy-three million, eight hundred nineteen thousand, nine hundred four".