34944509376 has 280 divisors, whose sum is σ = 124617764480. Its totient is φ = 9458477568.

The previous prime is 34944509371. The next prime is 34944509459. The reversal of 34944509376 is 67390544943.

It is a happy number.

34944509376 is a `hidden beast` number, since 3 + 49 + 445 + 0 + 93 + 76 = 666.

It is a super-2 number, since 2×34944509376² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34944509371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 664131 + ... + 714813.

Almost surely, 2^34944509376 is an apocalyptic number.

34944509376 is a gapful number since it is divisible by the number (36) 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 34944509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62308882240).

34944509376 is an abundant number, since it is smaller than the sum of its proper divisors (89673255104).

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

34944509376 is a wasteful number, since it uses less digits than its factorization.

34944509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50733 (or 50714 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 34944509376 in words is "thirty-four billion, nine hundred forty-four million, five hundred nine thousand, three hundred seventy-six".