1934801820 has 288 divisors, whose sum is σ = 6883688448. Its totient is φ = 430811136.

The previous prime is 1934801819. The next prime is 1934801821. The reversal of 1934801820 is 281084391.

It is an interprime number because it is at equal distance from previous prime (1934801819) and next prime (1934801821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934801821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15234597 + ... + 15234723.

It is an arithmetic number, because the mean of its divisors is an integer number (23901696).

Almost surely, 2^1934801820 is an apocalyptic number.

1934801820 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 1934801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441844224).

1934801820 is an abundant number, since it is smaller than the sum of its proper divisors (4948886628).

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

1934801820 is a wasteful number, since it uses less digits than its factorization.

1934801820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1934801820 is about 43986.3822108616. The cubic root of 1934801820 is about 1246.0787669409.

The spelling of 1934801820 in words is "one billion, nine hundred thirty-four million, eight hundred one thousand, eight hundred twenty".