3466447600 has 240 divisors, whose sum is σ = 10448545536. Its totient is φ = 1073664000.

The previous prime is 3466447597. The next prime is 3466447603. The reversal of 3466447600 is 67446643.

It is an interprime number because it is at equal distance from previous prime (3466447597) and next prime (3466447603).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466447603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7422567 + ... + 7423033.

Almost surely, 2^3466447600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224272768).

3466447600 is an abundant number, since it is smaller than the sum of its proper divisors (6982097936).

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

3466447600 is a wasteful number, since it uses less digits than its factorization.

3466447600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 3466447600 is about 58876.5454149613. The cubic root of 3466447600 is about 1513.4272401032.

The spelling of 3466447600 in words is "three billion, four hundred sixty-six million, four hundred forty-seven thousand, six hundred".