3415781376 has 468 divisors, whose sum is σ = 12041949504. Its totient is φ = 928972800.

The previous prime is 3415781351. The next prime is 3415781393. The reversal of 3415781376 is 6731875143.

3415781376 is a `hidden beast` number, since 3 + 4 + 1 + 578 + 1 + 3 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55996386 + ... + 55996446.

Almost surely, 2^3415781376 is an apocalyptic number.

3415781376 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 3415781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020974752).

3415781376 is an abundant number, since it is smaller than the sum of its proper divisors (8626168128).

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

3415781376 is a wasteful number, since it uses less digits than its factorization.

3415781376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 3415781376 is about 58444.6864650671. The cubic root of 3415781376 is about 1506.0175127459.

The spelling of 3415781376 in words is "three billion, four hundred fifteen million, seven hundred eighty-one thousand, three hundred seventy-six".