3420513360 has 400 divisors, whose sum is σ = 13248652032. Its totient is φ = 810777600.

The previous prime is 3420513353. The next prime is 3420513391. The reversal of 3420513360 is 633150243.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3349650 + ... + 3350670.

Almost surely, 2^3420513360 is an apocalyptic number.

3420513360 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 3420513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624326016).

3420513360 is an abundant number, since it is smaller than the sum of its proper divisors (9828138672).

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

3420513360 is a wasteful number, since it uses less digits than its factorization.

3420513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3420513360 is about 58485.1550395483. The cubic root of 3420513360 is about 1506.7126355394.

The spelling of 3420513360 in words is "three billion, four hundred twenty million, five hundred thirteen thousand, three hundred sixty".