3461673600 has 864 divisors, whose sum is σ = 15745242240. Its totient is φ = 716083200.

The previous prime is 3461673571. The next prime is 3461673617. The reversal of 3461673600 is 63761643.

It is a happy number.

3461673600 is a `hidden beast` number, since 3 + 4 + 616 + 7 + 36 + 0 + 0 = 666.

It is a super-2 number, since 2×3461673600² = 23966368225873920000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15523089 + ... + 15523311.

It is an arithmetic number, because the mean of its divisors is an integer number (18223660).

Almost surely, 2^3461673600 is an apocalyptic number.

3461673600 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 3461673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872621120).

3461673600 is an abundant number, since it is smaller than the sum of its proper divisors (12283568640).

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

3461673600 is a wasteful number, since it uses less digits than its factorization.

3461673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3461673600 is about 58835.9889863339. The cubic root of 3461673600 is about 1512.7321556991.

The spelling of 3461673600 in words is "three billion, four hundred sixty-one million, six hundred seventy-three thousand, six hundred".