34991440 has 80 divisors (see below), whose sum is σ = 94011840. Its totient is φ = 11970560.

The previous prime is 34991431. The next prime is 34991449. The reversal of 34991440 is 4419943.

It is an interprime number because it is at equal distance from previous prime (34991431) and next prime (34991449).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×34991440³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 34991396 and 34991405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34991449) 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, 13791 + ... + 16129.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 2^34991440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005920).

34991440 is an abundant number, since it is smaller than the sum of its proper divisors (59020400).

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

34991440 is a wasteful number, since it uses less digits than its factorization.

34991440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 34991440 is about 5915.3562868182. The cubic root of 34991440 is about 327.0799618659.

The spelling of 34991440 in words is "thirty-four million, nine hundred ninety-one thousand, four hundred forty".