3466041600 has 864 divisors, whose sum is σ = 14562567936. Its totient is φ = 707788800.

The previous prime is 3466041569. The next prime is 3466041629. The reversal of 3466041600 is 61406643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84537580 + ... + 84537620.

It is an arithmetic number, because the mean of its divisors is an integer number (16854824).

Almost surely, 2^3466041600 is an apocalyptic number.

3466041600 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 3466041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281283968).

3466041600 is an abundant number, since it is smaller than the sum of its proper divisors (11096526336).

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

3466041600 is a wasteful number, since it uses less digits than its factorization.

3466041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3466041600 is about 58873.0974214879. The cubic root of 3466041600 is about 1513.3681521915.

The spelling of 3466041600 in words is "three billion, four hundred sixty-six million, forty-one thousand, six hundred".