7343831040 has 768 divisors, whose sum is σ = 30116136960. Its totient is φ = 1486356480.

The previous prime is 7343830987. The next prime is 7343831057. The reversal of 7343831040 is 401383437.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 7343830992 and 7343831010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103434205 + ... + 103434275.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 2^7343831040 is an apocalyptic number.

7343831040 is a gapful number since it is divisible by the number (70) 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 7343831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

7343831040 is an abundant number, since it is smaller than the sum of its proper divisors (22772305920).

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

7343831040 is a wasteful number, since it uses less digits than its factorization.

7343831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 7343831040 is about 85696.1553396650. The cubic root of 7343831040 is about 1943.7521742031.

The spelling of 7343831040 in words is "seven billion, three hundred forty-three million, eight hundred thirty-one thousand, forty".