7390346040 has 480 divisors, whose sum is σ = 31215270240. Its totient is φ = 1535086080.

The previous prime is 7390346003. The next prime is 7390346053. The reversal of 7390346040 is 406430937.

7390346040 is a `hidden beast` number, since 73 + 90 + 3 + 460 + 40 = 666.

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 = 7390345986 and 7390346004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2742934 + ... + 2745626.

It is an arithmetic number, because the mean of its divisors is an integer number (65031813).

Almost surely, 2^7390346040 is an apocalyptic number.

7390346040 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 7390346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607635120).

7390346040 is an abundant number, since it is smaller than the sum of its proper divisors (23824924200).

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

7390346040 is a wasteful number, since it uses less digits than its factorization.

7390346040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7390346040 is about 85967.1218548114. The cubic root of 7390346040 is about 1947.8473760512.

Adding to 7390346040 its reverse (406430937), we get a palindrome (7796776977).

The spelling of 7390346040 in words is "seven billion, three hundred ninety million, three hundred forty-six thousand, forty".