3413001600 has 288 divisors, whose sum is σ = 12896596440. Its totient is φ = 856473600.

The previous prime is 3413001589. The next prime is 3413001601. The reversal of 3413001600 is 61003143.

3413001600 is a `hidden beast` number, since 34 + 1 + 30 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413001601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486115 + ... + 493085.

Almost surely, 2^3413001600 is an apocalyptic number.

3413001600 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 3413001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448298220).

3413001600 is an abundant number, since it is smaller than the sum of its proper divisors (9483594840).

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

3413001600 is a wasteful number, since it uses less digits than its factorization.

3413001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3413001600 is about 58420.9003696451. The cubic root of 3413001600 is about 1505.6088675952.

Adding to 3413001600 its reverse (61003143), we get a palindrome (3474004743).

The spelling of 3413001600 in words is "three billion, four hundred thirteen million, one thousand, six hundred".