34378125390 has 192 divisors, whose sum is σ = 108363505536. Its totient is φ = 7381794816.

The previous prime is 34378125359. The next prime is 34378125421. The reversal of 34378125390 is 9352187343.

34378125390 is a `hidden beast` number, since 3 + 4 + 37 + 81 + 2 + 539 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34378125359) and next prime (34378125421).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6348324 + ... + 6353736.

It is an arithmetic number, because the mean of its divisors is an integer number (564393258).

Almost surely, 2^34378125390 is an apocalyptic number.

34378125390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34378125390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54181752768).

34378125390 is an abundant number, since it is smaller than the sum of its proper divisors (73985380146).

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

34378125390 is a wasteful number, since it uses less digits than its factorization.

34378125390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34378125390 in words is "thirty-four billion, three hundred seventy-eight million, one hundred twenty-five thousand, three hundred ninety".