3800462610 has 128 divisors (see below), whose sum is σ = 10738925568. Its totient is φ = 842688000.

The previous prime is 3800462609. The next prime is 3800462621. The reversal of 3800462610 is 162640083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1643355 + ... + 1645665.

It is an arithmetic number, because the mean of its divisors is an integer number (83897856).

Almost surely, 2^3800462610 is an apocalyptic number.

3800462610 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 3800462610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369462784).

3800462610 is an abundant number, since it is smaller than the sum of its proper divisors (6938462958).

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

3800462610 is a wasteful number, since it uses less digits than its factorization.

3800462610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3800462610 is about 61647.8921780786. The cubic root of 3800462610 is about 1560.5540725793.

The spelling of 3800462610 in words is "three billion, eight hundred million, four hundred sixty-two thousand, six hundred ten".