34763040 has 192 divisors, whose sum is σ = 131241600. Its totient is φ = 8543232.

The previous prime is 34763023. The next prime is 34763063. The reversal of 34763040 is 4036743.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34762995 and 34763013.

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, 55851 + ... + 56469.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^34763040 is an apocalyptic number.

34763040 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 34763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

34763040 is an abundant number, since it is smaller than the sum of its proper divisors (96478560).

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

34763040 is a wasteful number, since it uses less digits than its factorization.

34763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34763040 is about 5896.0189958988. The cubic root of 34763040 is about 326.3667569950.

Adding to 34763040 its reverse (4036743), we get a palindrome (38799783).

The spelling of 34763040 in words is "thirty-four million, seven hundred sixty-three thousand, forty".