35049073920 has 288 divisors, whose sum is σ = 128948994048. Its totient is φ = 7947362304.

The previous prime is 35049073909. The next prime is 35049073921. The reversal of 35049073920 is 2937094053.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35049073921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3408627 + ... + 3418893.

Almost surely, 2^35049073920 is an apocalyptic number.

35049073920 is a gapful number since it is divisible by the number (30) 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 35049073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64474497024).

35049073920 is an abundant number, since it is smaller than the sum of its proper divisors (93899920128).

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

35049073920 is a wasteful number, since it uses less digits than its factorization.

35049073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 35049073920 in words is "thirty-five billion, forty-nine million, seventy-three thousand, nine hundred twenty".