3538894320 has 320 divisors, whose sum is σ = 13215404160. Its totient is φ = 865271808.

The previous prime is 3538894319. The next prime is 3538894351. The reversal of 3538894320 is 234988353.

3538894320 is a `hidden beast` number, since 3 + 538 + 8 + 94 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5419114 + ... + 5419766.

It is an arithmetic number, because the mean of its divisors is an integer number (41298138).

Almost surely, 2^3538894320 is an apocalyptic number.

3538894320 is a gapful number since it is divisible by the number (30) 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 3538894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607702080).

3538894320 is an abundant number, since it is smaller than the sum of its proper divisors (9676509840).

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

3538894320 is a wasteful number, since it uses less digits than its factorization.

3538894320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3538894320 is about 59488.6066402635. The cubic root of 3538894320 is about 1523.8978789529.

The spelling of 3538894320 in words is "three billion, five hundred thirty-eight million, eight hundred ninety-four thousand, three hundred twenty".