10349790 has 64 divisors (see below), whose sum is σ = 27509760. Its totient is φ = 2471040.

The previous prime is 10349771. The next prime is 10349797. The reversal of 10349790 is 9794301.

10349790 = T₁ + T₂ + ... + T₃₉₅.

10349790 is a nontrivial binomial coefficient, being equal to C(397, 3).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349797) by changing a digit.

It is the 395-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25872 + ... + 26268.

It is an arithmetic number, because the mean of its divisors is an integer number (429840).

Almost surely, 2^10349790 is an apocalyptic number.

10349790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754880).

10349790 is an abundant number, since it is smaller than the sum of its proper divisors (17159970).

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

10349790 is a wasteful number, since it uses less digits than its factorization.

10349790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10349790 is about 3217.1089505952. The cubic root of 10349790 is about 217.9267351927.

The spelling of 10349790 in words is "ten million, three hundred forty-nine thousand, seven hundred ninety".