3415041600 has 168 divisors, whose sum is σ = 11863535328. Its totient is φ = 857088000.

The previous prime is 3415041569. The next prime is 3415041631. The reversal of 3415041600 is 61405143.

It is an interprime number because it is at equal distance from previous prime (3415041569) and next prime (3415041631).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 60675 + ... + 102525.

Almost surely, 2^3415041600 is an apocalyptic number.

3415041600 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 3415041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931767664).

3415041600 is an abundant number, since it is smaller than the sum of its proper divisors (8448493728).

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

3415041600 is a wasteful number, since it uses less digits than its factorization.

3415041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41893 (or 41878 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3415041600 is about 58438.3572664393. The cubic root of 3415041600 is about 1505.9087825191.

Adding to 3415041600 its reverse (61405143), we get a palindrome (3476446743).

The spelling of 3415041600 in words is "three billion, four hundred fifteen million, forty-one thousand, six hundred".