1740385920 has 384 divisors, whose sum is σ = 6954474240. Its totient is φ = 366944256.

The previous prime is 1740385901. The next prime is 1740385943. The reversal of 1740385920 is 295830471.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222329 + ... + 1223751.

It is an arithmetic number, because the mean of its divisors is an integer number (18110610).

Almost surely, 2^1740385920 is an apocalyptic number.

1740385920 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 1740385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477237120).

1740385920 is an abundant number, since it is smaller than the sum of its proper divisors (5214088320).

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

1740385920 is a wasteful number, since it uses less digits than its factorization.

1740385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1740385920 is about 41717.9328346935. The cubic root of 1740385920 is about 1202.8602879881.

The spelling of 1740385920 in words is "one billion, seven hundred forty million, three hundred eighty-five thousand, nine hundred twenty".