34773840 has 160 divisors (see below), whose sum is σ = 126956160. Its totient is φ = 8718336.

The previous prime is 34773839. The next prime is 34773841. The reversal of 34773840 is 4837743.

It is an interprime number because it is at equal distance from previous prime (34773839) and next prime (34773841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34773795 and 34773804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34773841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36247 + ... + 37193.

It is an arithmetic number, because the mean of its divisors is an integer number (793476).

Almost surely, 2^34773840 is an apocalyptic number.

34773840 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 34773840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63478080).

34773840 is an abundant number, since it is smaller than the sum of its proper divisors (92182320).

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

34773840 is a wasteful number, since it uses less digits than its factorization.

34773840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 34773840 is about 5896.9347969941. The cubic root of 34773840 is about 326.4005514697.

The spelling of 34773840 in words is "thirty-four million, seven hundred seventy-three thousand, eight hundred forty".