34901040 has 80 divisors (see below), whose sum is σ = 111707136. Its totient is φ = 9004800.

The previous prime is 34901039. The next prime is 34901057. The reversal of 34901040 is 4010943.

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

It is a super-3 number, since 3×34901040³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34900998 and 34901016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095 + ... + 9785.

Almost surely, 2^34901040 is an apocalyptic number.

34901040 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 34901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55853568).

34901040 is an abundant number, since it is smaller than the sum of its proper divisors (76806096).

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

34901040 is a wasteful number, since it uses less digits than its factorization.

34901040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 34901040 is about 5907.7102163190. The cubic root of 34901040 is about 326.7980497939.

Adding to 34901040 its reverse (4010943), we get a palindrome (38911983).

The spelling of 34901040 in words is "thirty-four million, nine hundred one thousand, forty".