3413551680 has 672 divisors, whose sum is σ = 15302666880. Its totient is φ = 708341760.

The previous prime is 3413551679. The next prime is 3413551681. The reversal of 3413551680 is 861553143.

3413551680 is a `hidden beast` number, since 3 + 4 + 135 + 516 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3413551679) and next prime (3413551681).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3413551681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656594 + ... + 4657326.

Almost surely, 2^3413551680 is an apocalyptic number.

3413551680 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 3413551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651333440).

3413551680 is an abundant number, since it is smaller than the sum of its proper divisors (11889115200).

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

3413551680 is a wasteful number, since it uses less digits than its factorization.

3413551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3413551680 is about 58425.6080841269. The cubic root of 3413551680 is about 1505.6897505376.

The spelling of 3413551680 in words is "three billion, four hundred thirteen million, five hundred fifty-one thousand, six hundred eighty".