3420690000 has 600 divisors, whose sum is σ = 13910672160. Its totient is φ = 717696000.

The previous prime is 3420689989. The next prime is 3420690001. The reversal of 3420690000 is 960243.

3420690000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×3420690000² = 23402240152200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420690001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19109911 + ... + 19110089.

Almost surely, 2^3420690000 is an apocalyptic number.

3420690000 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 3420690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955336080).

3420690000 is an abundant number, since it is smaller than the sum of its proper divisors (10489982160).

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

3420690000 is a wasteful number, since it uses less digits than its factorization.

3420690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3420690000 is about 58486.6651468521. The cubic root of 3420690000 is about 1506.7385713284.

The spelling of 3420690000 in words is "three billion, four hundred twenty million, six hundred ninety thousand".