3375219456 has 432 divisors, whose sum is σ = 12070915584. Its totient is φ = 919683072.

The previous prime is 3375219349. The next prime is 3375219461. The reversal of 3375219456 is 6549125733.

3375219456 is a `hidden beast` number, since 3 + 37 + 521 + 94 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3375219456² = 22784212752321871872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10015320 + ... + 10015656.

Almost surely, 2^3375219456 is an apocalyptic number.

3375219456 is a gapful number since it is divisible by the number (36) 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 3375219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035457792).

3375219456 is an abundant number, since it is smaller than the sum of its proper divisors (8695696128).

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

3375219456 is an equidigital number, since it uses as much as digits as its factorization.

3375219456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3375219456 is about 58096.6389389266. The cubic root of 3375219456 is about 1500.0325112953.

The spelling of 3375219456 in words is "three billion, three hundred seventy-five million, two hundred nineteen thousand, four hundred fifty-six".