3576398400 has 168 divisors, whose sum is σ = 13037454240. Its totient is φ = 953694720.

The previous prime is 3576398377. The next prime is 3576398417. The reversal of 3576398400 is 48936753.

3576398400 is a `hidden beast` number, since 3 + 5 + 7 + 639 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807 + ... + 84593.

Almost surely, 2^3576398400 is an apocalyptic number.

3576398400 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 3576398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518727120).

3576398400 is an abundant number, since it is smaller than the sum of its proper divisors (9461055840).

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

3576398400 is a wasteful number, since it uses less digits than its factorization.

3576398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82818 (or 82797 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3576398400 is about 59802.9965804390. The cubic root of 3576398400 is about 1529.2622356190.

The spelling of 3576398400 in words is "three billion, five hundred seventy-six million, three hundred ninety-eight thousand, four hundred".