3583481990400 has 2160 divisors, whose sum is σ = 15173386757760. Its totient is φ = 827714764800.

The previous prime is 3583481990399. The next prime is 3583481990411. The reversal of 3583481990400 is 40991843853.

3583481990400 is a `hidden beast` number, since 3 + 5 + 8 + 3 + 48 + 199 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×3583481990400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9455097411 + ... + 9455097789.

Almost surely, 2^{3583481990400} is an apocalyptic number.

3583481990400 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 3583481990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586693378880).

3583481990400 is an abundant number, since it is smaller than the sum of its proper divisors (11589904767360).

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

3583481990400 is a wasteful number, since it uses less digits than its factorization.

3583481990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3583481990400 in words is "three trillion, five hundred eighty-three billion, four hundred eighty-one million, nine hundred ninety thousand, four hundred".