1900349640 has 256 divisors, whose sum is σ = 7286284800. Its totient is φ = 431557632.

The previous prime is 1900349629. The next prime is 1900349669. The reversal of 1900349640 is 469430091.

1900349640 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 3 + 4 + 9 + 640 = 666.

It is a super-2 number, since 2×1900349640² = 7222657508496259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1900349595 and 1900349604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307154 + ... + 1308606.

It is an arithmetic number, because the mean of its divisors is an integer number (28462050).

Almost surely, 2^1900349640 is an apocalyptic number.

1900349640 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 1900349640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643142400).

1900349640 is an abundant number, since it is smaller than the sum of its proper divisors (5385935160).

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

1900349640 is a wasteful number, since it uses less digits than its factorization.

1900349640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1900349640 is about 43592.9998967724. Note that the first 3 decimals coincide. The cubic root of 1900349640 is about 1238.6382988183.

The spelling of 1900349640 in words is "one billion, nine hundred million, three hundred forty-nine thousand, six hundred forty".