34404261240 has 64 divisors (see below), whose sum is σ = 103736777760. Its totient is φ = 9127892480.

The previous prime is 34404261233. The next prime is 34404261247. The reversal of 34404261240 is 4216240443.

It is an interprime number because it is at equal distance from previous prime (34404261233) and next prime (34404261247).

It is a super-3 number, since 3×34404261240³ (a number of 33 digits) contains 333 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 = 34404261198 and 34404261207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404261247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704031 + ... + 751310.

Almost surely, 2^34404261240 is an apocalyptic number.

34404261240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34404261240 is an abundant number, since it is smaller than the sum of its proper divisors (69332516520).

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

34404261240 is a wasteful number, since it uses less digits than its factorization.

34404261240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455552 (or 1455548 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 34404261240 in words is "thirty-four billion, four hundred four million, two hundred sixty-one thousand, two hundred forty".