34744026240 has 1728 divisors, whose sum is σ = 165869233920. Its totient is φ = 6618931200.

The previous prime is 34744026227. The next prime is 34744026287. The reversal of 34744026240 is 4262044743.

34744026240 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 402 + 6 + 240 = 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 = 34744026195 and 34744026204.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1120775025 + ... + 1120775055.

It is an arithmetic number, because the mean of its divisors is an integer number (95989140).

Almost surely, 2^34744026240 is an apocalyptic number.

34744026240 is a gapful number since it is divisible by the number (30) 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 34744026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82934616960).

34744026240 is an abundant number, since it is smaller than the sum of its proper divisors (131125207680).

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

34744026240 is a wasteful number, since it uses less digits than its factorization.

34744026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

It can be divided in two parts, 347440 and 26240, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 34744026240 in words is "thirty-four billion, seven hundred forty-four million, twenty-six thousand, two hundred forty".