3406100544 has 840 divisors, whose sum is σ = 13622292288. Its totient is φ = 830269440.

The previous prime is 3406100497. The next prime is 3406100591. The reversal of 3406100544 is 4450016043.

3406100544 is a `hidden beast` number, since 3 + 4 + 0 + 610 + 0 + 5 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (3406100497) and next prime (3406100591).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64266022 + ... + 64266074.

Almost surely, 2^3406100544 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 3406100544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6811146144).

3406100544 is an abundant number, since it is smaller than the sum of its proper divisors (10216191744).

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

3406100544 is a wasteful number, since it uses less digits than its factorization.

3406100544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3406100544 is about 58361.8072372678. The cubic root of 3406100544 is about 1504.5934073809.

Adding to 3406100544 its reverse (4450016043), we get a palindrome (7856116587).

The spelling of 3406100544 in words is "three billion, four hundred six million, one hundred thousand, five hundred forty-four".