3364541600 has 144 divisors (see below), whose sum is σ = 9690379776. Its totient is φ = 1116288000.

The previous prime is 3364541581. The next prime is 3364541617. The reversal of 3364541600 is 61454633.

It is a super-2 number, since 2×3364541600² = 22640280356261120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163910 + ... + 183290.

It is an arithmetic number, because the mean of its divisors is an integer number (67294304).

Almost surely, 2^3364541600 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 3364541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845189888).

3364541600 is an abundant number, since it is smaller than the sum of its proper divisors (6325838176).

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

3364541600 is a wasteful number, since it uses less digits than its factorization.

3364541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3364541600 is about 58004.6687776079. The cubic root of 3364541600 is about 1498.4490042349.

The spelling of 3364541600 in words is "three billion, three hundred sixty-four million, five hundred forty-one thousand, six hundred".