3420290016 has 768 divisors, whose sum is σ = 13005619200. Its totient is φ = 858470400.

The previous prime is 3420290009. The next prime is 3420290023. The reversal of 3420290016 is 6100920243.

It is an interprime number because it is at equal distance from previous prime (3420290009) and next prime (3420290023).

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 127 ways as a sum of consecutive naturals, for example, 72772105 + ... + 72772151.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2^3420290016 is an apocalyptic number.

3420290016 is a gapful number since it is divisible by the number (36) 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 3420290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502809600).

3420290016 is an abundant number, since it is smaller than the sum of its proper divisors (9585329184).

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

3420290016 is a wasteful number, since it uses less digits than its factorization.

3420290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3420290016 is about 58483.2456007701. The cubic root of 3420290016 is about 1506.6798409930.

The spelling of 3420290016 in words is "three billion, four hundred twenty million, two hundred ninety thousand, sixteen".