3466598400 has 216 divisors, whose sum is σ = 12416744340. Its totient is φ = 924303360.

The previous prime is 3466598371. The next prime is 3466598407. The reversal of 3466598400 is 48956643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466598407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 457039 + ... + 464561.

Almost surely, 2^3466598400 is an apocalyptic number.

3466598400 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 3466598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208372170).

3466598400 is an abundant number, since it is smaller than the sum of its proper divisors (8950145940).

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

3466598400 is a wasteful number, since it uses less digits than its factorization.

3466598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3466598400 is about 58877.8260468234. The cubic root of 3466598400 is about 1513.4491858668.

The spelling of 3466598400 in words is "three billion, four hundred sixty-six million, five hundred ninety-eight thousand, four hundred".