34078632 has 64 divisors (see below), whose sum is σ = 98313600. Its totient is φ = 9642240.

The previous prime is 34078631. The next prime is 34078633. The reversal of 34078632 is 23687043.

It is an interprime number because it is at equal distance from previous prime (34078631) and next prime (34078633).

It is a super-2 number, since 2×34078632² = 2322706317982848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34078593 and 34078602.

It is not an unprimeable number, because it can be changed into a prime (34078631) 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, 17382 + ... + 19242.

It is an arithmetic number, because the mean of its divisors is an integer number (1536150).

Almost surely, 2^34078632 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 34078632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49156800).

34078632 is an abundant number, since it is smaller than the sum of its proper divisors (64234968).

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

34078632 is a wasteful number, since it uses less digits than its factorization.

34078632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 34078632 is about 5837.6906392854. The cubic root of 34078632 is about 324.2107301569.

The spelling of 34078632 in words is "thirty-four million, seventy-eight thousand, six hundred thirty-two".