3578380416 has 320 divisors, whose sum is σ = 11611353600. Its totient is φ = 1087395840.

The previous prime is 3578380327. The next prime is 3578380459. The reversal of 3578380416 is 6140838753.

3578380416 is a `hidden beast` number, since 3 + 578 + 38 + 0 + 41 + 6 = 666.

It is a super-2 number, since 2×3578380416² = 25609612803224666112, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 18734881 + ... + 18735071.

It is an arithmetic number, because the mean of its divisors is an integer number (36285480).

Almost surely, 2^3578380416 is an apocalyptic number.

3578380416 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 3578380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805676800).

3578380416 is an abundant number, since it is smaller than the sum of its proper divisors (8032973184).

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

3578380416 is a wasteful number, since it uses less digits than its factorization.

3578380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3578380416 is about 59819.5654949114. The cubic root of 3578380416 is about 1529.5446857386.

The spelling of 3578380416 in words is "three billion, five hundred seventy-eight million, three hundred eighty thousand, four hundred sixteen".