1834377840 has 240 divisors, whose sum is σ = 6447587328. Its totient is φ = 484662528.

The previous prime is 1834377833. The next prime is 1834377841. The reversal of 1834377840 is 487734381.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834377841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2468509 + ... + 2469251.

Almost surely, 2^1834377840 is an apocalyptic number.

1834377840 is a gapful number since it is divisible by the number (10) 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 1834377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223793664).

1834377840 is an abundant number, since it is smaller than the sum of its proper divisors (4613209488).

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

1834377840 is a wasteful number, since it uses less digits than its factorization.

1834377840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1834377840 is about 42829.6374021541. The cubic root of 1834377840 is about 1224.1357980820.

The spelling of 1834377840 in words is "one billion, eight hundred thirty-four million, three hundred seventy-seven thousand, eight hundred forty".