3400080 has 80 divisors (see below), whose sum is σ = 10904064. Its totient is φ = 875520.

The previous prime is 3400073. The next prime is 3400087. The reversal of 3400080 is 800043.

It is an interprime number because it is at equal distance from previous prime (3400073) and next prime (3400087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3400087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212 + ... + 7668.

Almost surely, 2^3400080 is an apocalyptic number.

3400080 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 3400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452032).

3400080 is an abundant number, since it is smaller than the sum of its proper divisors (7503984).

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

3400080 is a wasteful number, since it uses less digits than its factorization.

3400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3400080 is about 1843.9305843768. The cubic root of 3400080 is about 150.3706389796.

The spelling of 3400080 in words is "three million, four hundred thousand, eighty".