3407040000 has 900 divisors, whose sum is σ = 15205863816. Its totient is φ = 718848000.

The previous prime is 3407039983. The next prime is 3407040037. The reversal of 3407040000 is 407043.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 262079994 + ... + 262080006.

Almost surely, 2^3407040000 is an apocalyptic number.

3407040000 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 3407040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602931908).

3407040000 is an abundant number, since it is smaller than the sum of its proper divisors (11798823816).

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

3407040000 is an equidigital number, since it uses as much as digits as its factorization.

3407040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3407040000 is about 58369.8552336735. The cubic root of 3407040000 is about 1504.7317248254.

Adding to 3407040000 its reverse (407043), we get a palindrome (3407447043).

The spelling of 3407040000 in words is "three billion, four hundred seven million, forty thousand".