3420674880 has 448 divisors, whose sum is σ = 13280501760. Its totient is φ = 728580096.

The previous prime is 3420674869. The next prime is 3420674891. The reversal of 3420674880 is 884760243.

3420674880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3420674869) and next prime (3420674891).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9320457 + ... + 9320823.

Almost surely, 2^3420674880 is an apocalyptic number.

3420674880 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 3420674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640250880).

3420674880 is an abundant number, since it is smaller than the sum of its proper divisors (9859826880).

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

3420674880 is a wasteful number, since it uses less digits than its factorization.

3420674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3420674880 is about 58486.5358864756. The cubic root of 3420674880 is about 1506.7363513162.

The spelling of 3420674880 in words is "three billion, four hundred twenty million, six hundred seventy-four thousand, eight hundred eighty".