35290085376 has 576 divisors, whose sum is σ = 120464547840. Its totient is φ = 9103933440.

The previous prime is 35290085323. The next prime is 35290085377. The reversal of 35290085376 is 67358009253.

It is a happy number.

It is a super-2 number, since 2×35290085376² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35290085377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277874625 + ... + 277874751.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 2^35290085376 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 35290085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232273920).

35290085376 is an abundant number, since it is smaller than the sum of its proper divisors (85174462464).

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

35290085376 is a wasteful number, since it uses less digits than its factorization.

35290085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 35290085376 in words is "thirty-five billion, two hundred ninety million, eighty-five thousand, three hundred seventy-six".