1954395936 has 144 divisors (see below), whose sum is σ = 5869936800. Its totient is φ = 615112704.

The previous prime is 1954395929. The next prime is 1954395959. The reversal of 1954395936 is 6395934591.

1954395936 is a `hidden beast` number, since 1 + 9 + 5 + 43 + 9 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3157035 + ... + 3157653.

It is an arithmetic number, because the mean of its divisors is an integer number (40763450).

Almost surely, 2^1954395936 is an apocalyptic number.

1954395936 is a gapful number since it is divisible by the number (16) 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 1954395936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934968400).

1954395936 is an abundant number, since it is smaller than the sum of its proper divisors (3915540864).

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

1954395936 is a wasteful number, since it uses less digits than its factorization.

1954395936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1220 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The square root of 1954395936 is about 44208.5504851720. The cubic root of 1954395936 is about 1250.2710742241.

The spelling of 1954395936 in words is "one billion, nine hundred fifty-four million, three hundred ninety-five thousand, nine hundred thirty-six".