34401615240 has 64 divisors (see below), whose sum is σ = 105152126400. Its totient is φ = 9000672512.

The previous prime is 34401615239. The next prime is 34401615247. The reversal of 34401615240 is 4251610443.

It is a super-2 number, since 2×34401615240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34401615198 and 34401615207.

It is not an unprimeable number, because it can be changed into a prime (34401615247) 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 15 ways as a sum of consecutive naturals, for example, 2698170 + ... + 2710889.

It is an arithmetic number, because the mean of its divisors is an integer number (1643001975).

Almost surely, 2^34401615240 is an apocalyptic number.

34401615240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34401615240 is an abundant number, since it is smaller than the sum of its proper divisors (70750511160).

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

34401615240 is a wasteful number, since it uses less digits than its factorization.

34401615240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409126 (or 5409122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 34401615240 in words is "thirty-four billion, four hundred one million, six hundred fifteen thousand, two hundred forty".