1000348409700 has 1152 divisors, whose sum is σ = 3721486809600. Its totient is φ = 228925440000.

The previous prime is 1000348409689. The next prime is 1000348409761. The reversal of 1000348409700 is 79048430001.

It is a happy number.

1000348409700 is a `hidden beast` number, since 100 + 0 + 3 + 484 + 0 + 9 + 70 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3611365962 + ... + 3611366238.

It is an arithmetic number, because the mean of its divisors is an integer number (3230457300).

Almost surely, 2^{1000348409700} is an apocalyptic number.

1000348409700 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 1000348409700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860743404800).

1000348409700 is an abundant number, since it is smaller than the sum of its proper divisors (2721138399900).

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

1000348409700 is a wasteful number, since it uses less digits than its factorization.

1000348409700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1000348409700 in words is "one trillion, three hundred forty-eight million, four hundred nine thousand, seven hundred".