35378970048 has 280 divisors, whose sum is σ = 106603952400. Its totient is φ = 11600547840.

The previous prime is 35378969971. The next prime is 35378970071. The reversal of 35378970048 is 84007987353.

It is a super-2 number, since 2×35378970048² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 35378969976 and 35378970003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125903668 + ... + 125903948.

Almost surely, 2^35378970048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35378970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53301976200).

35378970048 is an abundant number, since it is smaller than the sum of its proper divisors (71224982352).

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

35378970048 is a wasteful number, since it uses less digits than its factorization.

35378970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 35378970048 in words is "thirty-five billion, three hundred seventy-eight million, nine hundred seventy thousand, forty-eight".