3581978400 has 1296 divisors, whose sum is σ = 17505004608. Its totient is φ = 677376000.

The previous prime is 3581978333. The next prime is 3581978423. The reversal of 3581978400 is 48791853.

3581978400 is a `hidden beast` number, since 3 + 58 + 197 + 8 + 400 = 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 215 ways as a sum of consecutive naturals, for example, 50450365 + ... + 50450435.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^3581978400 is an apocalyptic number.

3581978400 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 3581978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8752502304).

3581978400 is an abundant number, since it is smaller than the sum of its proper divisors (13923026208).

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

3581978400 is a wasteful number, since it uses less digits than its factorization.

3581978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3581978400 is about 59849.6315778134. The cubic root of 3581978400 is about 1530.0571553684.

The spelling of 3581978400 in words is "three billion, five hundred eighty-one million, nine hundred seventy-eight thousand, four hundred".