7349384070 has 384 divisors, whose sum is σ = 24758939520. Its totient is φ = 1540546560.

The previous prime is 7349384057. The next prime is 7349384071. The reversal of 7349384070 is 704839437.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7349384071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9220912 + ... + 9221708.

It is an arithmetic number, because the mean of its divisors is an integer number (64476405).

Almost surely, 2^7349384070 is an apocalyptic number.

7349384070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7349384070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12379469760).

7349384070 is an abundant number, since it is smaller than the sum of its proper divisors (17409555450).

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

7349384070 is a wasteful number, since it uses less digits than its factorization.

7349384070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7349384070 is about 85728.5487454442. The cubic root of 7349384070 is about 1944.2419728140.

The spelling of 7349384070 in words is "seven billion, three hundred forty-nine million, three hundred eighty-four thousand, seventy".