3538922400 has 360 divisors, whose sum is σ = 13901821164. Its totient is φ = 870912000.

The previous prime is 3538922389. The next prime is 3538922417. The reversal of 3538922400 is 42298353.

3538922400 is a `hidden beast` number, since 35 + 389 + 2 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 108243216 + 3430679184 = 10404^2 + 58572^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×3538922400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 840300 + ... + 844500.

Almost surely, 2^3538922400 is an apocalyptic number.

3538922400 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 3538922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950910582).

3538922400 is an abundant number, since it is smaller than the sum of its proper divisors (10362898764).

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

3538922400 is a wasteful number, since it uses less digits than its factorization.

3538922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3538922400 is about 59488.8426513746. The cubic root of 3538922400 is about 1523.9019094905.

The spelling of 3538922400 in words is "three billion, five hundred thirty-eight million, nine hundred twenty-two thousand, four hundred".