3413921280 has 640 divisors, whose sum is σ = 14255087616. Its totient is φ = 675840000.

The previous prime is 3413921263. The next prime is 3413921297. The reversal of 3413921280 is 821293143.

It is an interprime number because it is at equal distance from previous prime (3413921263) and next prime (3413921297).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13601155 + ... + 13601405.

Almost surely, 2^3413921280 is an apocalyptic number.

3413921280 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 3413921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127543808).

3413921280 is an abundant number, since it is smaller than the sum of its proper divisors (10841166336).

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

3413921280 is a wasteful number, since it uses less digits than its factorization.

3413921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3413921280 is about 58428.7709951185. The cubic root of 3413921280 is about 1505.7440910896.

The spelling of 3413921280 in words is "three billion, four hundred thirteen million, nine hundred twenty-one thousand, two hundred eighty".