34382778000 has 160 divisors (see below), whose sum is σ = 111023882112. Its totient is φ = 9154368000.

The previous prime is 34382777999. The next prime is 34382778019. The reversal of 34382778000 is 87728343.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4141854 + ... + 4150146.

Almost surely, 2^34382778000 is an apocalyptic number.

34382778000 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 34382778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55511941056).

34382778000 is an abundant number, since it is smaller than the sum of its proper divisors (76641104112).

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

34382778000 is a wasteful number, since it uses less digits than its factorization.

34382778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 8994 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 34382778000 in words is "thirty-four billion, three hundred eighty-two million, seven hundred seventy-eight thousand".