3407007744 has 364 divisors, whose sum is σ = 11746025056. Its totient is φ = 967458816.

The previous prime is 3407007739. The next prime is 3407007763. The reversal of 3407007744 is 4477007043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3407007699 and 3407007708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20901807 + ... + 20901969.

Almost surely, 2^3407007744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873012528).

3407007744 is an abundant number, since it is smaller than the sum of its proper divisors (8339017312).

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

3407007744 is an frugal number, since it uses more digits than its factorization.

3407007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 3407007744 is about 58369.5789260125. The cubic root of 3407007744 is about 1504.7269761501.

The spelling of 3407007744 in words is "three billion, four hundred seven million, seven thousand, seven hundred forty-four".