3482366400 has 504 divisors, whose sum is σ = 13266115200. Its totient is φ = 864460800.

The previous prime is 3482366387. The next prime is 3482366423. The reversal of 3482366400 is 46632843.

It is a happy number.

3482366400 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 3 + 6 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12945466 + ... + 12945734.

Almost surely, 2^3482366400 is an apocalyptic number.

3482366400 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 3482366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633057600).

3482366400 is an abundant number, since it is smaller than the sum of its proper divisors (9783748800).

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

3482366400 is a wasteful number, since it uses less digits than its factorization.

3482366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3482366400 is about 59011.5785248963. The cubic root of 3482366400 is about 1515.7403824866.

The spelling of 3482366400 in words is "three billion, four hundred eighty-two million, three hundred sixty-six thousand, four hundred".